A simple pendulum ,while oscillating ,rises to a maximum vertical height of 5 cm from its rest position when it reaches to its extreme position on one side.If mass of the bob of the simple pendulum is 500 g and g-10 m `s^(-2)` find :
(i)the total energy of simple pendulum at any instant while oscillating ,and
(ii)the velocity of bob at its mean position State the assumption made in your calculation .

Explanation

To solve the problem step-by-step, we will first calculate the total energy of the simple pendulum and then find the velocity of the bob at its mean position.

### Step 1: Calculate the Total Energy of the Simple Pendulum

The total mechanical energy (E) of a simple pendulum in the absence of friction is equal to the gravitational potential energy (PE) at its maximum height. The formula for gravitational potential energy is:

\[
PE = m \cdot g \cdot h
...